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Finding the Fourth Proportional to 380.82, 571.31 and 137.35

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Solution

The fourth proportional to 380.82, 571.31 and 137.35 is: 206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.82 : 571.31 = 137.35 : x
  2. Step 2: Convert to fraction form
    380.82/571.31 = 137.35/x
  3. Step 3: Cross multiply
    380.82x = 571.31 × 137.35
  4. Step 4: Simplify right side
    380.82x = 78,465.89
  5. Step 5: Solve for x
    x = 78,465.89/380.82
  6. Step 6: Final answer
    x = 206.04

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